Mathematical Modelling and Applications

Series Preface, Gabriele Kaiser and Gloria Stillman.- Boundary Crossings in Mathematical Modelling and Applications Educational Research and Practice, Gloria Stillman, Werner Blum, and Gabriele Kaiser.- Part I New Approaches in Research, Teaching and Practice from Crossing Boundaries.- Mathematical Modelling with Increasing Learning Aids A Video Study, Deike S. Alfke (ne Jtting).- Modelling with Statistical Data: Characterisation of Student Models, ngels Aymerich, Nria Gorgori, and Llus Albarracn.- How Teachers Can Promote Mathematising by Means of Mathematical City Walks, Nils Buchholtz.- LHospitals Weight Problem: Testing the Boundaries between Mathematics and Physics, between Application and Modelling, France Caron and Kathleen Pineau. Representations of Modelling in Mathematics Education, Helen M. Doerr, Jonas B. rlebck and Morten Misfeldt.- The Primacy of Noticing: a Key to Successful Modelling, Peter Galbraith, Gloria Ann Stillman and Jill P. Brown.- Combining Models Related to Data Distribution through Productive Experimentation, Takashi Kawakami.- Reconciling Intuitions and Conventional Knowledge: The Challenge of Teaching and Learning Mathematical Modelling, Azita Manouchehri and Stephen T. Lewis.- A Modelling Perspective in Designing Teacher Professional Learning Communities, Nicholas Mousoulides, Marilena Nicolaidou, and Maria Evagorou.- Mathematical Modelling and Proof by Recurrence: an Analysis from a Wittgensteinian Perspective, Brbara Palharini, Emerson Tortola and Lourdes Maria Werle de Almeida.- Quality Criteria for Mathematical Models in Relation to Models Purposes - Their Usefulness in Engineering Education, Jacob Perrenet, Bert Zwaneveld, Kees van Overveld and Tijn Borghuis.- Ethnomodelling as the Mathematization of Cultural Practices, Milton Rosa and Daniel Clark Orey.- Enabling Anticipation through Visualisation in Mathematising Real World Problems in a Flipped Classroom, Gloria Ann Stillman.- Measuring Metacognitive Modelling Competencies, Katrin Vorhlter.- Part II Researching Boundaries in Mathematical Modelling Education.- The Mathematical Modelling Competencies Required for Solving Engineering Statics Assignments, Burkhard Alpers.- Pre-service Teachers Levels of Reflectivity after Mathematical Modelling Activities with High-School Students, Rita Borromeo Ferri.- Context and Understanding: The Case of Linear Models, Jill P. Brown.- Difficulties in Teaching Modelling: A French-Spanish Exploration, Richard Cabassut and Irene Ferrando.- How Students Connect Mathematical Models to Descriptions of Real-World Situations, Dirk De Bock, Nele Veracx and Wim Van Dooren.- Mathematical Modelling Strategies and Attitudes of Third Year Pre-Service Teachers, Rina Durandt and Gerrie J Jacobs.- Exploring the Notion of Mathematical Literacy in Curricula Documents, Peter Frejd and Vincent Geiger.- Design and Implementation of a Tool for Analysing Student Products when They Solve Fermi Problems, Csar Gallart, Irene Ferrando, Llus M. Garca-Raffi, Llus Albarracn and Nria Gorgori.- Implementing Modelling into Classrooms Results of an Empirical Research Study, Jana Kreckler.- A Commognitive Perspective on Pre-service Secondary Teachers Content Knowledge in Mathematical Modelling, Joo Young Park.- Mathematics Teachers Learning at the Boundaries of Teaching, Research and Workplace, Giorgos Psycharis and Despina Potari.- Case Study of Pre-service Teachers Education for Mathematical Modelling and Applications Connecting Paintings with Mathematics, Akihiko Saeki, Masafumi Kaneko and Daisuke Saito.- Inquiry and Modelling in a Real Archaeological Context, Gemma Sala Sebasti , Vicen Font Moll, Joaquim Gimnez Rodrguez, Berta Barquero Farr s.- Students Overreliance on Linearity in Economic Applications: A State of the Art, Daam Van Reeth and Dirk De Bock.- Part III Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Modelling